Ocean Acoustics Textbooks
[Frisk] Frisk, George V. Ocean and Seabed Acoustics: A Theory of Wave Propagation. Prentice Hall, 1994. ISBN: 9780136301127.
A complete beginning graduate level text on ray and (especially) mode techniques.
[COA] Jensen, Finn B., William A. Kuperman, et al. Computational Ocean Acoustics. Springer, 2011. ISBN: 9781441986771. [Preview with Google Books]
This is perhaps the most essential text for the “advanced ocean acoustics and numerical methods” part of this course.
[B&L] Brekhovskikh, L. M., and Yu. P. Lysanov. Fundamentals of Ocean Acoustics. Springer, 2010. ISBN: 9781441930156.
Another upper level text covering a wide range of topics in ocean acoustics and scattering.
[KP] Katznelson, Boris G. and Valery G. Petnikov. “Shallow Water Accoustics.” SpringerVerlag, 2002. ISBN: 9781852331849.
The predecessor to the updated [FSWA] book, wth substantially different material.
[FSWA] Katsnelson, Boris G., Valery G. Petnikov, and James Lynch. Fundamentals of Shallow Water Acoustics. Springer, 2012. ISBN: 9781441997760. [Preview with Google Books]
[M&C] Medwin, Herman, and Clarence S. Clay. Fundamentals of Acoustical Oceanography (Applications of Modern Acoustics). Academic Press, 1997. ISBN: 9780124875708. [Preview with Google Books]
[OG] Ogilvy, J.A. “Theory of Wave Scattering From Random Rough Surfaces.” Taylor & Francis, 1991. ISBN: 9780750300636.
A very good basic book on acoustic and electromagnetic wave scattering.
Inverse Textbooks
[ABT] Aster, Richard, Brian Borchers, and Clifford Thurber. Parameter Estimation and Inverse Problems. Academic Press, 2005. ISBN: 9780120887927.
A very nice basic text on linear techniques, as well as weakly nonlinear and Bayesian techniques.
[Sounds] Medwin, Herman. Sounds in the Sea: from Ocean Acoustics to Acoustical Oceanography. Cambridge University Press, 2005. ISBN: 9780521829502. [Preview with Google Books]
The second part of this book, on new frontiers in acoustical oceanography, make it stand out from a “standard text.”
[Mencke] Menke, William. Geophysical Data Analysis: Discrete Inverse Theory. Academic Press, 1989. ISBN: 9780124909212. [Preview with Google Books]
A great basic text.
If you have these books available, you have a nice basic library for ocean acoustics and acoustical oceanography.
SES #  READINGS 

Part I. Basics of Ocean Acoustics and Numerical Methods  
Fundamentals  
1 
Chapter 1: sections 1.3 and 1.4 in [Frisk]. Chapter 2: sections 2.1, 2.2, 2.3 and 2.4 in [Frisk]. 
2 
Chapter 3: sections 3.1, 3.2 and 3.3 (up to Eq. 3.38) in [Frisk]. 
3  Chapter 4: Sections 4.1–4.7 in [Frisk]. 
Ray Theory  
4–5 
Sections 1.1–1.4 in [COA]. Sections 3.1, 3.2, 3.3, 3.3.1, 3.7, 3.7.1, 3.7.2, 3.3.5.2–3.3.5.4, 3.6.5 and 3.5 in [COA]. Chapter 7: 7.3 and 7.4 in [Frisk]. Halliday, David, Robert Resnick, and Kenneth S. Krane. “Fermats Principle.” In Physics. Wiley, 2001. ISBN: 9780471401940. 
Normal mode theory and wavenumber integration  
6  Chapter 5: 5.1, 5.2, 5.21, 5.3, 5.4, 5.5, 5.51 and 5.52 (just past equation 5.175) in [Frisk]. 
7 
Chapter 4: Sections 4.8 and 4.7 in [Frisk]. Chapter 6: Section 6.1 in [Frisk]. Sections 5.11.3 and 5.11.4 in [COA]. 3.2 in [FSWA]. MyintU, Tyn, and Lokenath Debnath. Sections 7.11 and 7.12 in Linear Partial Differential Equations for Scientists and Engineers. Birkhäuser, 2006. ISBN: 9780817643935. [Preview with Google Books] Sections 9.1, 9.1.1, 9.1.2, 9.1.3, 9.1.4, 9.1.5, 9.2, 9.2.1 and 9.2.2 in [M&C]. Tindle, C.T., A. P. Stamp, et al. “Virtual Modes and the Surface Boundary Condition in Underwater Acoustics.” Sound and Vibration 49, no. 2 (1976): 231–40. 
8 
Sections 5.13, 5.13.1, 5.9, 5.9.1 and 5.9.2 in [COA]. Sections 7.3 and 7.3.1 in [B&L]. Tindle, C. T., and J. K. Guthrie. “Rays as Interfering Modes in Underwater Acoustics.” Sound and Vibration 34, no. 2 (1974): 291–5. 
9 
Sections 5.7, 5.7.1, 5.7.3, 5.7.4; 5.11, 5.11.1, 5.11.2; 4.5, 4.5.1, 4.5.2, 4.5.3 and 4.5.4 in [COA]. 
Parabolic Equation—PE  
10 
Section 7.4 in [B&L]. Sections 6.2, 6.2.1, 6.2.2, 6.2.3, 6.4.1, 6.4.1.1, 6.6, 6.6.1 and 6.6.2 in [COA]. Chapter 6, Appendix 1 in in [COA]. 
Assorted Topics of Interest  
11 
Sections 3.4.2, 3.4.3, 3.4.4, 8.2, 8.2.1, 8.2.2, 8.2.3, 8.4 and 8.5 in [FSWA]. Appendix A9 in [M&C]. 
Rough Surface Scattering in a Nutshell  
12 
Sections 9.1, 9.2, 9.3, 9.3.1, 9.3.2 and 9.7 in [B&L]. Tolstoy, Ivan S., and C. S. Clay. Section 6.9 in Ocean Acoustics. McGrawHill Education, 1967. ISBN: 9780070649415. 
Part II. Acoustical Oceanography and Inverse Methods  
Acoustical Oceanography  
13  
Acoustical Oceanography Instrumentation—Brief Overview 

14 
Chapters 18 and 22 Wikipedia article on RAFOS floats in [Sounds]. Watts, D. Randolph, and H. Thomas Rossby. “Measuring Dynamic Heights with Inverted Echo Sounders: Results from MODE.” Physical Oceanography 7, no. 3 (1977): 345–58. Spain, Peter F., et al. “PEGASUS: A Simple, Acoustically Tracked Velocity Profiler.” Deep Sea Research 28, no. 12 (1981): 1553–67. ADCP references from WHOI webpage 
Inverse theory  
15 
Chapters 3, 4 and 7 in [ABT]. Sections 7.3 and 7.3.1 in [FSWA]. Appendix A in [Mencke]. Aki, Keeiti, and Paul G. Richards. Chapter 12 in Quantitative Seismology, vol 2. University Science Books, 2009, pp. 675–89. ISBN: 9781891389634. 
16 
Chapter 11 in [ABT]. Dosso, and Holland. “Bayesian inversion of seabed reflection data.” In Acoustic Sensing Techniques for the Shallow Water Environment: Inversion Methods and Experiments. Springer, 2006. ISBN: 9781402043727. Press, William H., Saul A. Teukolsky, et al. Numerical Recipes: The Art of Scientific Computing. Cambridge University Press, 2007. ISBN: 9780521880688. [Preview with Google Books] Section 10.9 MATLAB® Central webpage article on Simulated Annealing Wikipedia article on simulated annealing Wikipedia article on genetic algorithm Collins, Michael D., W. A. Kuperman, et al. “Nonlinear Inversions for Ocean Bottom Properties.” J. Acoust. Soc. Am 92, no. 5 (1992). 